Transmissivity of optomechanical system containing a two-level system

The field of quantum optomechanics is newly grooming research field, availed good attention in the last couple of years. Here, we theoretically study the system of optomechanics containing a two-level atom, which is coupled to the cavity field, and driven coherently by external fields. Analytical results for the system's operator dynamics, steady state solutions and transmissivity of optomechanical system are calculated. Transmission (optical response) from the optomechanical system shows some useful information about the current optomechanical system. Particularly, Delta(m) = Delta-g(0)((b) over cap +b((dagger) over cap)) is a crucial quantity in optomechanics, focused as main parameters in this paper. Optical transmis- sion is studied in two regions. The first region (case) (i) when Delta(m) = Delta - omega(m), and in second region (case), (ii) Delta(m) = Delta + omega(m). The transmission is examined and discussed with respect to the mechanical frequency of the oscillating mirror.